On Almost Generalized Dispersive G-spaces

In this paper, we introduce a new concept of a G-space which we call almost generalized dispersive G-space. This space is neither a dispersive G-space [4] nor a generalized dispersive G-space [5]. We study this space and give enough examples about it and we prove that the suspension SX (which is a quotient space of X×I) of a connected generalized dispersive G-space is almost generalized dispersive Gspace but neither generalized dispersive G-space nor dispersive Gspace .Also we study its equivalent definition, equivariant homeomorphic image and the finite product of almost generalized dispersive G- spaces.